Greatest Common Factor Exercises and Practice Worksheet

Greatest Common Factor Exercises and Practice Worksheet

Name: Due Date:

Exercises:

Use method number 1 (List the factors) for questions 1 to 8 to find the GCF:

1.  35 and 40

35: ( , , , )

40: ( , , , , , , , )

GCF =

2.  15, 25, and 10

15: ( , , , )

25: ( , , )

10: ( , , , )

GCF =

3.  24 and 27

4.  16 and 20

5.  36 and 54

6.  16, 24, and 36

7.  8, 20 and 14

8.  60, 90 and 75

Use method number 2 (Factor Tree) for questions 9 to 16 to find the GCF:

9.  24 and 60

24 = x x x

60 = x x x

GCF =

10.  36, 18 and 27

36 = x x x

18 = x x

27 = x x

GCF =

11.  50 and 75

12.  76 and 66

13.  63 and 28

14.  98, 42, and 56

15.  300, 450, and 750

16.  252, 108, and 144

Practice:

Use any method to find the GCF:

1. 70, 35 2. 36, 96 3. 39, 52

4. 48, 35 5. 140, 110 6. 105, 140

7. 17, 25, 50 8. 12, 48, 40 9. 80, 100, 150

10. 800, 300, 500, 700 11. 18, 27, 36, 25 12. 72, 20, 28, 48

Solve:

13.  Emma wants to know what is the maximum number of people who can share 42 cookies, 70 apples, and 56 chocolate bars equally.

14.  Matt is tiling his house and he needs to find out what are the largest square tiles that he could use to tile an area 105 cm by 280 cm?

15.  Brianna knows that two numbers with a GCF of 1 are said to be relatively prime. Help her identify which of the following pairs of numbers are relatively prime?

a. 21, 35 b. 42, 28 c. 47, 32 d. 38, 15

e. 87, 53 f. 60, 93 g. 25, 36 h. 75, 40